I think he drove her, since clearly the tracking dogs didn’t lead to her body. If he killed her in the house, I think he got her body out super quick, prior to cadaverine being released. There is no reason he couldn’t take her body immediately, take one of the vehicles from the house, drive 5-10 minutes away and dump her within a short time of her death.
If he did this quickly, there wouldn’t be anything for the cadaver dogs to hit on, and if the tracking dogs tracked her to their vehicles that wouldn’t be weird because she leaves the house and gets in the car regularly.